What are the coordinates of the center and the length of the radius of the circle represented by the equation x 2 + y 2 - 4 x + 8 y + 11 = 0 ?

Question

What are the coordinates of the center and the length of the radius of the circle represented by the equation             x      2        +          y      2        -    4    x    +    8    y    +    11    =    0  ?

Fleetuictr0th · Accepted Answer

The equation must be transformed to in order to determine the radius and center.                     (        x        -        a        )            2        +                  (        y        =        b        )            2        =          r      2                  x      2        +          y      2        -    4    x    +    8    y    +    11    =    0              x      2        -    4    x    +    4    -    4    +          y      2        +    8    y    +    16    -    16    +    11    =    0                      (        x        -        2        )            2        -    4    +                  (        y        +        4        )            2        -    16    +    11    =    0                      (        x        -        2        )            2        +                  (        y        +        4        )            2        -    9    =    0                      (        x        -        2        )            2        +                  (        y        +        4        )            2        =    9  According to the transformed equation, the circle&#039;s center is C=(2;-4) and its radius is r=3.

What are the coordinates of the center and the length of the radius of the circle represented by the equation x^2+y^2-4x+8y+11=0?

Answered question

Answer & Explanation

New Questions in High school geometry